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Finding the Fourth Proportional to 2,131.97, 2,942.10 and 1,187.80

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Solution

The fourth proportional to 2,131.97, 2,942.10 and 1,187.80 is: 1,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.97 : 2,942.10 = 1,187.80 : x
  2. Step 2: Convert to fraction form
    2,131.97/2,942.10 = 1,187.80/x
  3. Step 3: Cross multiply
    2,131.97x = 2,942.10 × 1,187.80
  4. Step 4: Simplify right side
    2,131.97x = 3,494,619.02
  5. Step 5: Solve for x
    x = 3,494,619.02/2,131.97
  6. Step 6: Final answer
    x = 1,639.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.